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Finding the Third Proportional to 9,778,832 and 21,260,186

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Solution

The third proportional to 9,778,832 and 21,260,186 is: 46,221,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,832 : 21,260,186 = 21,260,186 : x
  2. Step 2: Convert to fraction form
    9,778,832/21,260,186 = 21,260,186/x
  3. Step 3: Cross multiply
    9,778,832x = 21,260,186 × 21,260,186
  4. Step 4: Simplify right side
    9,778,832x = 451,995,508,754,596
  5. Step 5: Solve for x
    x = 451,995,508,754,596/9,778,832
  6. Step 6: Final answer
    x = 46,221,829.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.